摘要翻译：
我们提出了一种相互作用粒子系统动力学的方法，它允许从纯随机考虑导出路径积分公式。我们证明了由此产生的场论是Doi和Peliti标准理论的双重版本。这澄清了两种方法之间的Cole-Hopf映射的起源和反应扩散方程组的有效Langevin方程中虚噪声的出现。我们的方法的优点是它直接关注密度场。我们展示了一些应用，特别是在零程过程、流体动力学极限和大偏差泛函方面。
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英文标题：
《Dynamics of interacting particle systems: stochastic process and field
  theory》
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作者：
Alexandre lefevre and Giulio Biroli
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最新提交年份：
2007
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分类信息：

一级分类：Physics        物理学
二级分类：Statistical Mechanics        统计力学
分类描述：Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变，热力学，场论，非平衡现象，重整化群和标度，可积模型，湍流
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英文摘要：
  We present an approach to the dynamics of interacting particle systems, which allows to derive path integral formulas from purely stochastic considerations. We show that the resulting field theory is a dual version of the standard theory of Doi and Peliti. This clarify both the origin of the Cole-Hopf map between the two approaches and the occurence of imaginary noises in effective Langevin equations for reaction-diffusion systems. The advantage of our approach is that it focuses directly on the density field. We show some applications, in particular on the Zero Range Process, hydrodynamic limits and large deviation functional.
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PDF链接：
https://arxiv.org/pdf/709.1325